Cos(angle) = adjacent leg/ hypotenuse
cos(angle) = 21/36
angle = arccos(21/36
Angle = 54.31
Angle = 54 degrees
Solve the system of equations: 4x+1=5(x−3y)−6
3(x+6y)+4=9y+19
Answer:
[tex](\frac{16}{3},- \frac{1}{9} )[/tex] or [tex]x=\frac{16}{3}, y=- \frac{1}{9}[/tex]
Step-by-step explanation:
Hello again!
We are given these two systems:
4x+1=5(x-3y)-6
3(x+6y)+4=9y+19
And we want to solve them for x and y.
First, let's do the distributive property to expand out what is in the parentheses.
4x+1=5(x-3y)-6 --> 4x+1=5x-15y-6
Now simplify 4x+1=5x-15y-6
Subtract 5x from both sides
4x+1=5x-15y-6
-5x -5x
__________
-x+1=-15y-6
Now add 15y to both sides
-x+1=-15y-6
+15y +15y
___________
-x+15y+1=-6
Subtract 1 from both sides
-x+15y=-7
Now for 3(x+6y)+4=9y+19:
3x + 18y + 4 = 9y + 19
Subtract 9y from both sides
3x + 9y + 4 = 19
Subtract 4 from both sides
3x + 9y = 15
Here is our system now:
-x+15y=-7
3x+9y=15
On 3x+9y=15, because all of the values are multiples of 3, we can actually divide it by 3.
3x+9y=15
÷3 ÷3
x + 3y = 5
So here it is again:
-x+15y=-7
x+3y=5
These equations can actually be solved using elimination! We will be adding these equations together to clear out a variable, solve for the uncleared variable, and then use the value of the uncleared variable to find the value of the cleared variable
So, add -x+15y=-7 and x+3y=5 together.
-x+15y=-7
+
x+3y=5
_____
18y=-2
Divide both sides by 18
y=[tex]-\frac{1}{9}[/tex]
Now substitute -1/9 as y into either -x+15y=7 or x+3y=5
Taking x+3y=5 for example,
x+3(-1/9)=5
multiply
x-1/3+5
Add 1/3 to both sides
x=5+1/3=16/3
So the answer is [tex]x=\frac{16}{3} , y=-\frac{1}{9}[/tex], or as a point, [tex](\frac{16}{3},- \frac{1}{9} )[/tex]
Hope this helps!
create a real life scenario that could be modeled by the equation: y = 50 + 25x
Maybe something money-wise.
Jenny's subscription requires a 50$ desposit, as well as a monthly fee of 25$. How much will she have paid after x months?
A person whose age is y years old is 50 years more than 25 times of his son's age, where son's age be x years.
What is linear equation?Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable.
Real life scenario for the given two variable equation : y = 50 + 25x
Thus, A person whose age is y years old is 50 years more than 25 times of his son's age, where son's age be x years.
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2x + 3y = 19 3x - 5y = -19 Whats the solution
Answer:
SSimplifying
2x + -3y = 19
Solving
2x + -3y = 19
Solving for variable 'x'.tep-by-step explanation:
Simplifying
2x + -3y = 19
Solving
2x + -3y = 19
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3y' to each side of the equation.
2x + -3y + 3y = 19 + 3y
Combine like terms: -3y + 3y = 0
2x + 0 = 19 + 3y
2x = 19 + 3y
Divide each side by '2'.
x = 9.5 + 1.5y
Simplifying
x = 9.5 + 1.5y
Can someone please help me with my math without giving the answer?
Answer:
what do you need help with? i will gladly help :>
Step-by-step explanation:
Ally~
The function f(t)=6500(1.85)^{365t}f(t)=6500(1.85)
365t represents the change in a quantity over t years. What does the constant 1.85 reveal about the rate of change of the quantity?
Answer:
The function is *growing* exponentially at a rate of *0.85%* every *year*
Step-by-step explanation:
Can someone help me with this, please?
Answer:
P(pink) = 0.225
Step-by-step explanation:
We should ignore the spinner picture because it is a trick!
We need to use the data provided in the table
We need to find the probabilty of getting pink out of all the colors:
[tex]\frac{pink}{purple\ +\ pink\ +\ yellow\ +\ blue} = \frac{9}{12\ +\ 6\ +\ 9\ +\ 13}\\ = \frac{9}{40} = 0.225\ \ (22.5\%)[/tex]
We use the probability notation:
P(pink) = 0.225
Find the error in the solution. Identify the solution, and then solve the problem correctly.
In ΔKLM, m
Use the Law of Cosines to find the length of LM to the nearest tenth.
LM² = 23² - 20² - 2 (23) (20) cos 119°
LM² = 529 - 400 - 920 cos 119°
LM²≈575.02
LM²≈24.0
Eroor: LM² = 23² - 20² - 2(23)(20) cos 119°
Should be LM² = 23² + 20² - 2(23)(20) cos 119°
Lm² = 575.02 is incorrect
LM² = 1375.016 is correct
LM = 24.0 is incorrect
LM = 37 - 1 is correct
Answer: LM = 37 - 1
Step-by-Step Explanation:[tex]In\ \bigtriangleup KLM[/tex]
[tex]By\ using\ cosine\ gule:[/tex]
[tex]LM^2=LK^2+Km^2-2LK\times Km[/tex]
[tex]\times cos(119\textdegree[/tex]
[tex]LM^2=23^2+20^2-2\times 23\times 20\times -0.4848[/tex]
[tex]LM^2=529+400+920\times 0.4848[/tex]
[tex]LM^2=929+446+016=1375.016[/tex]
[tex]LM=\sqrt{1375.016}=37.0812=37.1[/tex]
[tex]Error:LM^2=23^2-20^2-2(23)(20)cos\ 119\textdegree[/tex]
[tex]Sholeld\ be\ 2M^2=23^2+20^2-2(23)(20)\ cos\ 119\textdegree[/tex]
[tex]Lm^2=575.02\ is\ incosrect[/tex]
[tex]LM^2=1375.016\ is\ correct[/tex]
[tex]LM=24.0\ is\ correct[/tex]
[tex]Lm=37-1\ is\ correct[/tex]
[tex]Answer:LM=37-1[/tex]
I hope this helps you
:)
Find the product of (x − 3)^2.
x^2 + 6x + 9
x^2 − 6x + 9
x^2 + 9
x^2 − 9
4.
Nalli bought a 24-ounce bottle of salad
dressing for $5.75. She has used 60% of the
bottle this week for her lunches. What is the
cost of the amount of salad dressing that she
has used this week?
Answer:
THAZ NOW NUMBU FO IDIYIT WEN YO POWPIN
Step-by-step explanation:
How to find the volume of a trapezoidal prism calculator?.
What is the answer? Thank you, :)
Can somebody help me?
(2, 9) is the solution of the system of equations.
y = x + 7
y = 2x + 5
true or false
Answer:
True! Since if you replace x and y with 2 and 9, you will get 9 = 2 + 7 or 9 = 2 x 2 + 5 which makes the equation true.
Answer:
Yes it's TRUE that ( 2 , 9 ) is the solution of given equations .Step-by-step explanation:
In the question it is given that whether ( 2 , 9 ) is solution of system of equations that are y = x + 7 and y = 2x + 5 .
And we have to tell that it is true or false.
Solution : -
As in the question we're provided with ( 2 , 9 ) . So , Here :
Value of x is 2Value of y is 9( 1 )
[tex] \longmapsto \qquad \:y = x + 7[/tex]
Substituting value of x and y in equation :
[tex] \longmapsto \qquad \: 9 = 2 + 7[/tex]
[tex] \longmapsto \qquad \: \boxed{\bf{9 = 9}}[/tex]
As we see that left side is equal to right side .
Therefore ( 2 , 9 ) is the solution of y = x + 7 .( 2 )
[tex] \longmapsto \qquad \: y = 2x + 5[/tex]
Substituting value of x and y in equation :
[tex] \longmapsto \qquad \: 9 = 2(2) + 5[/tex]
[tex] \longmapsto \qquad \: 9 = 4 + 5[/tex]
[tex] \longmapsto \qquad \: \boxed{ \bf{9 = 9}}[/tex]
As we see that left side is equal to right side .
Therefore ( 2 , 9 ) is the solution of y = 2(x) + 5 .#Keep LearningWhen paying for higher education, scholarships and grants can be considered _____.
a)liquid assets
b)free money
c)easy money
d)sound investments
Answer:Liquid assets
Step-by-step explanation: Can be valued as cash
When paying for higher education, scholarships and grants can be considered liquid assets. Hence, option A is correct.
What is liquid assets?Liquid assets are assets that can be quickly converted into cash. Although while your assets are valuable possessions that may be traded for cash, not all of them can be sold immediately away for cash or without suffering a loss. A common liquid asset is cash.
Liquid assets include cash on hand, cash stored in a bank, and possessions that can be quickly and readily converted into cash. Common liquid assets include shares, bonds, certificates of deposit, and stocks.
No, an automobile is not considered to be a liquid asset. A car is regarded as a tangible asset that depreciates over time, is more difficult to sell, and is more subject to market swings. It is also challenging to make a quick turn.
Thus, option A is correct.
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In Morton’s class of 20, 4 Students report that social studies as their favorite class And 70% of the students report that PE is their favorite class, Show your work To explain how do determine whether more students prefer social studies or PE
Answer:
More students prefer PE.
Step-by-step explanation:
20 × 70% = 14
14 > 4
14 students prefer PE
4 prefer social studies
OR
4 ÷ 20 = 0.2
0.2 = 20%
70% > 20%
70% of the students prefer PE
20% of the students prefer social studies
What is 0540 - 0360 Military time?
Answer:
thats 5:40 am in normal time
Step-by-step explanation:
We give brain list if you help solve this
Answer: 28 inches
Step by step explaination:
First: You do inches over feet- In/Ft
Second: you do 4/60=x/420
Next: You do 60x=1680
60 60
Last- Your answer is 28 inches if you divide 1680 and 60.
Did this help you?
Answer:
[tex]\huge\boxed{\sf 28\ inches}[/tex]
Step-by-step explanation:
Given that:
Height of the building = 420 feet
According to the scale,
4 inches = 60 feet
×7 ×7 [Multiplying 7 to both sides]
28 inches = 420 feet
So, Height of scale model in inches is 28 inches.
[tex]\rule[225]{225}{2}[/tex]
A triangle has sides of lengths 12, 14, and 19. Is it a right triangle? Explain.
Answer:
yes it is The answer is C
Step-by-step explanation:
How do you solve this math problem?
Answer: 34.8
Step-by-step explanation:
5 kids found $4. How much will each kid get if they share equally?
Answer:
$0.80
Step-by-step explanation:
We have to divide 4 by 5, because we are splitting the money equally among the 5 kids.
4 ÷ 5 = 0.8
Therefore, each kid gets $0.80
I hope this helps and please mark me as brainliest!
Answer:
0.80 cents
please make this answer brainliest If I helped you!
Step-by-step explanation:
each will get 0.80 cents because 0.80 times the 5 of them equally will equal 4 full $dollars
What is the surface area of the prism?
520 m²
Here given:
length: 10 m
width: 8 m
height: 10 m
surface area of rectangular prism:
2(lw+hw+hl)
2(10*8+10*8+10*10)
2(80+80+100)
2(260)
520 m²
Answer:
Surface Area = 520 m² ( Option C is correct )Step-by-step explanation:
In this question we are given a rectangular prism which having :
Length = 10 mWidth = 8 mHeight = 10 mAnd we are asking to find the surface area of prism . We know that ,
[tex] \blue{ \underline{ \boxed{ \sf{Surface \: Area_{(Rectangular \: Prism)} =2(lw + wh + hl )}}}}[/tex]
Where ,
l = Length of prismw = Width of prismh = Height of prismSolution : -
Now solving by substituting value of length, width and height in the formula . So ,
[tex] \longmapsto \quad \: 2( (10 \times 8 )+ (8 \times 10) + (10 \times 10))[/tex]
[tex] \longmapsto \quad \:2(80 + 80 + 100)[/tex]
[tex] \longmapsto \quad \:2(160 + 100)[/tex]
[tex] \longmapsto \quad \:2(260)[/tex]
[tex] \longmapsto \quad \: \underline{\boxed{\frak{520 \: m {}^{2} }}}[/tex]✦
Henceforth, surface area of given prism is 520 square metres which means option C is the correct answer .#Keep Leaninghelp again pls✊ pls and ty
Answer:
The linear relationship between the length of someone's femur and their expected height..
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
The formula for the volume of a cylinder is
V = πr2
h, where r is the radius and h is the height.
A cylinder has a radius of 3 cm and a height
of 10 cm.
Which of the following is closest to the volume
of the cylinder?
a. 188 cm3
b. 283 cm3
c. 888 cm3
d. 8882 cm3
Answer:
b. 283 cm3
Step-by-step explanation:
V = pi * r^2 * h
V = 3.14 * 3^2 * 10
V = 282.6 rounded to 283cm3
there are five number cards. 1 4 6 8 9 One of the cards is removed and the mean average of the remaining four number cards is 6 Which card was removed? You must show your working.
Answer:
The card removed was number '4'.
Step-by-step explanation:
9+8= 17
17+6= 23
23+1=24
You then must divide 24 by 4:
24/4 = 6
Therefore the card removed must have been 4.
I hope that helped and I hope it is correct lol.
A 20-gallon container is filled halfway with a mixture that is $90\%$ vinegar and $10\%$ water. How many gallons of water must be added for the mixture to become $60\%$ vinegar and $40\%$ water
Answer:
5 gallons of water must be added.
10 gallons to start with
adding 'x' gallons of water final volume = 10 + x
.9 (10) = amount of vinegar
.1(10) = amount of water
amount of vinegar before and after water addition is constant
.9(10) = .6(10+x)
9 = 6 + .6x
3 = .6x
x = 5 gallons of water to be added
(i truly hope i helped you
What is the simplest form of (5x+2)(5x-2)
Answer:
Step-by-step explanation:
if x= -2 and y= -3 then what is x^3y^2
Answer:
The answer is 72.
Step-by-step explanation:
If x=-2 and y=-3 then what is x^3y^2.
Plug them into that equation.
(-2)^3 * (-3)^2
Expand the power.
(-2*-2*-2)*(-3*-3)
(-8)*(9)
72
Answer:
72
Step-by-step explanation:
A self-selecting sample is Group of answer choices a good indicator of sample quality. not likely to be biased. guaranteed to be representative. not likely to be representative.
A self-selecting sample is not likely to be representative. The reason why a self-selecting sample is not likely representative would be discussed below.
What is self-selecting sample?A self-selection sample is determined by the individual that are used as data for the research. They are the ones that will determine the inclusion or exclusion of the sample units by either affirming or declining to participate.
The reason self-selecting sample is not likely to be representative is that it is too bias as the individuals that volunteered may not be able to satisfy the goals of the research.
Therefore, a self-selecting sample is not likely to be representative.
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Help pls!
[tex]\begin{bmatrix}5x+3y=7\\ 3x-5y=-23\end{bmatrix}[/tex]
Answer:
Soln:
5x+3y=7
(5x+3y)×5=7×5
25x+15y=35,eq.1
3x-5y=(-23)
(3x-5y)×3=-23×3
9x-15y=(-69)
Adding both equations,
25x+15y=35
9x-15y=(-69)
34x=(-34)
x=(-1)
5x+3y=7
(-5)+3y=7
3y=12
y=4
How many times larger than 2x10^3 is 6x10^6?
Answer: 5,998,000
Step-by-step explanation:
2x10^3= 2,000
6x10^6= 6,000,000
In translation, Use 1 x The Initial SIG FIGS, or first numbers. 10x10 is 100, and notice how 10 and 10 have 2 zeros, so 1x1 = 1 +00 is a way to construct the number.
In this case, the 10^x, the x can represent the number of zeros after our first value.
So, 6 + six zeros, or 6,000,000
and, 2 + 3 zeros, or 2,000
To find the difference, subtract the numbers from eachother and extract the absolute value, (meaning the final answer won't be negative).
So, 6,000,000 - 2,000 = 5,998,000, which is the answer to the prompt!
Hope this Helped!
A waiter earns $128 for 6 hours
of work. The total included $86 in
tips. How much does the waiter
earn each hour?
with an equation
Answer:
$21.33
Step-by-step explanation:
If the waiter earns $128 for 6 hours, divide 128 by 6.
21.33...